एक बेकरी पेस्ट्रीचा एक नग 48 रुपयांना विकत होती. पुढील महिन्यात, बेकरीने पेस्ट्रीची किंमत कमी केली. यामुळे पेस्ट्रीची विक्री 5 : 8 या प्रमाणात वाढली. जर पेस्ट्रीमधून मिळणारे बेकरीचे उत्पन्न 4 : 5 या प्रमाणात वाढले असेल तर पेस्ट्रीची किंमत किती रुपये कमी करण्यात आली होती?

  1. 2.50 रुपये 
  2. 4.50 रुपये  
  3. 7.50 रुपये 
  4. 10.50 रुपये 

Answer (Detailed Solution Below)

Option 4 : 10.50 रुपये 
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Detailed Solution

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पेस्ट्रीची नवीन किंमत 'x' मानू.

⇒ पेस्ट्रीच्या जुन्या किमतीचे नव्या किमतीशी गुणोत्तर = 48 ∶ x

आता,

⇒ बेकरीच्या उत्पन्नाचे गुणोत्तर = पेस्ट्रीच्या विक्रीचे गुणोत्तर × पेस्ट्रीच्या किमतीचे गुणोत्तर 

⇒ 4 ∶ 5 = 5 ∶ 8 × 48 ∶ x

∵ a ∶ b आणि c ∶ d या  गुणोत्तरांचे एकत्र गुणोत्तर आहे  ac ∶ bd

⇒ 4/5 = 30/x

⇒ x = 30 × 5/4 = 37.50 रुपये 

∴ 48 - 37.50 = 10.50 रुपयांनी पेस्ट्रीची किंमत कमी करण्यात आली होती.

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